Ortho-Unit Polygons can be Guarded with at most \(\left\lfloor \frac{n-4}{8} \right\rfloor \) Guards

An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit polygon with \(n \ge 12\) $n\ge 12$ vertices can be guarded with at most \(\lfloor \frac{n-4}{8} \rfloor \) $\lfloor \frac{n-4}{8}\rfloor$ guards, which is a tight bound.